Cremona's table of elliptic curves

78736 = 2⁴ · 7 · 19 · 37

Class	r	Atkin-Lehner	Eigenvalues
78736a (4 curves)	1	2+ 7+ 19+ 37+	2+  0 -2 7+ -4  2 -2 19+
Curve Equation t Generators 78736a1 [0,0,0,169,534] 2 [6:42:1] 78736a2 [0,0,0,-811,4650] 4 [-13:114:1] 78736a3 [0,0,0,-6131,-181550] 2 [-41:30:1] 78736a4 [0,0,0,-11171,454274] 2 [71:138:1]
78736b (1 curve)	1	2+ 7- 19+ 37-	2+ -2  1 7-  3  7  2 19+
Curve Equation t Generators 78736b1 [0,1,0,-225,8731] 1 [42:703:8]
78736c (2 curves)	1	2+ 7- 19- 37+	2+  0  0 7-  0 -2  0 19-
Curve Equation t Generators 78736c1 [0,0,0,62185,-2618506] 2 [293:6384:1] 78736c2 [0,0,0,-273955,-21912942] 2 [-253:5586:1]
78736d (1 curve)	1	2+ 7- 19- 37+	2+ -2  1 7- -1  3  2 19-
Curve Equation t Generators 78736d1 [0,1,0,-188025,31324387] 1 [246:133:1]
78736e (1 curve)	2	2+ 7- 19- 37-	2+ -2  1 7- -3  2  0 19-
Curve Equation t Generators 78736e1 [0,1,0,-2000,33652] 1 [22:28:1]&[6:148:1]
78736f (1 curve)	2	2+ 7- 19- 37-	2+ -2 -1 7- -5 -4 -4 19-
Curve Equation t Generators 78736f1 [0,1,0,-736,-684] 1 [-10:-76:1]&[-2:28:1]
78736g (1 curve)	0	2- 7+ 19+ 37+	2-  0  1 7+ -3 -3  2 19+
Curve Equation t 78736g1 [0,0,0,928,-124752] 1
78736h (2 curves)	0	2- 7+ 19+ 37+	2-  0  4 7+  0 -6 -4 19+
Curve Equation t 78736h1 [0,0,0,-116843,15476890] 2 78736h2 [0,0,0,-1873003,986633370] 2
78736i (1 curve)	0	2- 7+ 19+ 37+	2- -2  3 7+  2 -6 -1 19+
Curve Equation t 78736i1 [0,1,0,-156464,-24047852] 1
78736j (1 curve)	0	2- 7+ 19+ 37+	2- -2 -3 7+  2  6 -7 19+
Curve Equation t 78736j1 [0,1,0,-768832,291926004] 1
78736k (1 curve)	0	2- 7+ 19+ 37+	2- -2 -3 7+  5  3  2 19+
Curve Equation t 78736k1 [0,1,0,1563,-24941] 1
78736l (1 curve)	1	2- 7+ 19+ 37-	2-  0  1 7+  5 -2  6 19+
Curve Equation t Generators 78736l1 [0,0,0,-12827,-505398] 1 [-49:74:1]
78736m (1 curve)	1	2- 7+ 19+ 37-	2-  0 -3 7+  1  2 -2 19+
Curve Equation t Generators 78736m1 [0,0,0,-173382299,-877115238326] 1 [-10865828596245:38060207535886:1393668613]
78736n (1 curve)	1	2- 7+ 19+ 37-	2-  0 -3 7+ -2  2  1 19+
Curve Equation t Generators 78736n1 [0,0,0,1,-54] 1 [14:52:1]
78736o (3 curves)	1	2- 7+ 19+ 37-	2-  2  3 7+ -3  5  6 19+
Curve Equation t Generators 78736o1 [0,-1,0,-65749,-6849699] 1 [289500705970668129483669630:-3432686102000523604942464591:783245228909648801412376] 78736o2 [0,-1,0,373291,-6739939] 1 [57343089310:4088743340157:1824793048] 78736o3 [0,-1,0,-4882869,4513961981] 1 [32519890:747790239:17576]
78736p (3 curves)	1	2- 7+ 19+ 37-	2-  2 -3 7+  3 -4  0 19+
Curve Equation t Generators 78736p1 [0,-1,0,-941592,-351361936] 1 [-6812324:72:12167] 78736p2 [0,-1,0,-944872,-348787344] 1 [-588:1776:1] 78736p3 [0,-1,0,-7761752,8153341424] 1 [-980:121728:1]
78736q (1 curve)	0	2- 7+ 19- 37-	2-  2 -3 7+ -2 -2  1 19-
Curve Equation t 78736q1 [0,-1,0,328,-2704] 1
78736r (1 curve)	0	2- 7+ 19- 37-	2-  2 -3 7+  5 -2 -4 19-
Curve Equation t 78736r1 [0,-1,0,-14112,-614656] 1
78736s (1 curve)	1	2- 7- 19+ 37+	2-  0 -1 7- -5 -3 -2 19+
Curve Equation t Generators 78736s1 [0,0,0,-488,4156] 1 [6:38:1]
78736t (1 curve)	1	2- 7- 19+ 37+	2- -2  3 7-  3 -7 -2 19+
Curve Equation t Generators 78736t1 [0,1,0,-1629,-28361] 1 [155:1862:1]
78736u (1 curve)	2	2- 7- 19+ 37-	2-  0 -1 7- -1  4 -6 19+
Curve Equation t Generators 78736u1 [0,0,0,-9323,-207846] 1 [-81:126:1]&[-25:98:1]
78736v (1 curve)	2	2- 7- 19+ 37-	2- -2  1 7- -5 -1  2 19+
Curve Equation t Generators 78736v1 [0,1,0,-85,1647] 1 [7:-38:1]&[-9:42:1]
78736w (1 curve)	2	2- 7- 19+ 37-	2- -2  1 7- -5 -4 -4 19+
Curve Equation t Generators 78736w1 [0,1,0,-65460120,203829391636] 1 [4684:-1554:1]&[2094:275576:1]
78736x (1 curve)	2	2- 7- 19+ 37-	2- -2 -3 7- -1  0  4 19+
Curve Equation t Generators 78736x1 [0,1,0,-2072,35476] 1 [-42:224:1]&[22:32:1]
78736y (2 curves)	0	2- 7- 19- 37+	2-  0  0 7-  0  2  0 19-
Curve Equation t 78736y1 [0,0,0,85,2266] 2 78736y2 [0,0,0,-2155,36762] 2
78736z (1 curve)	0	2- 7- 19- 37+	2-  0  3 7-  3 -1  6 19-
Curve Equation t 78736z1 [0,0,0,64,-4468] 1
78736ba (1 curve)	0	2- 7- 19- 37+	2-  2  3 7- -2  2  3 19-
Curve Equation t 78736ba1 [0,-1,0,-45904,-6769728] 1
78736bb (1 curve)	1	2- 7- 19- 37-	2-  2 -1 7- -1  4  0 19-
Curve Equation t Generators 78736bb1 [0,-1,0,-11101776,13998145472] 1 [27898:1063713:8]
78736bc (2 curves)	1	2- 7- 19- 37-	2-  2  2 7- -4 -2  0 19-
Curve Equation t Generators 78736bc1 [0,-1,0,448,-11008] 2 [1632:13040:27] 78736bc2 [0,-1,0,-5472,-138880] 2 [-40:120:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations